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QUESTION -
WHAT IS THE AREA OF THIS IRREGULAR POLYGON?

Answer:

15x+9

Step-by-step explanation:

f(g(x))

=f(3x+2)

=5(3x+2)-1

=15x+9

Answer:

a) false

b) true

c) true

Step-by-step explanation:

The y-intercept of a function is the point when x = 0

⇒ f(0) = 2|0 + 2| + 3

          = 2|2| + 3

          = 4 + 3

          = 7

From inspection of the graph, the y-intercept of g(x) is (0, 7)

Therefore, the y-intercepts of f(x) and g(x) are the same.

"f(x) has a greater y-intercept" → false

From inspection of the graph, g(1) = 6

⇒ f(-1) = 2|-1 + 2| + 3

          = 2|1| + 3

          = 2 + 3

          = 5

Therefore,  g(1) > f(-1) → true

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

From inspection of the graph:

g(0) = 7

g(3) = 4

[tex]\textsf{average rate of change of g(x)} \implies \dfrac{4-7}{3-0}=-1[/tex]

f(0) = 7  (from part (a))

f(3) = 2|3 + 2| + 3

     = 2|5| + 3

     = 10 + 3

     = 13

[tex]\textsf{average rate of change of f(x)} \implies \dfrac{13-7}{3-0}=2[/tex]

Function g(x) decreases over [0, 3] at the rate of -1

Function f(x) increases over [0, 3] at the rate of 2

Therefore, "f(x) increases at a faster rate than g(x) over interval [0, 3]" is true

**Please see the attached graph for reference**

The interval [0, 3] is shaded in grey

f(x) is shown in red

The added 2 points are f(-1) and g(1)

The domain of the graph of the that represents the side length of the mirror is 2 ≤ x ≤3

The given parameters are:

The area (y) of a square of side length x is:

y = x²

Make x the subject

x = √y

When y = 9, we have:

x = √9 = 3

When y = 4, we have:

x = √4 = 2

This means that the domain of the graph of the that represents the side length of the mirror is 2 ≤ x ≤3

See attachment for the graph

Read more about graphs at:

https://brainly.com/question/4025726

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Answer:

4√2

Step-by-step explanation:

complex no, z=√(a2+b2)

where, a=4 and b=4

z=√(4*4+4*4)

z=√(16+16)=√(32)

z=4√2

So

Let's see

#B

So

We need base

Answer:

a) 67°

b) 2.6 ft

Step-by-step explanation:

This problem can be modeled as a right triangle (see attachment 1), where the wall and the ground are the legs, and the ladder is the hypotenuse. Therefore, we can use the sine trig ratio to find the angle.

Trig Ratio

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

Given:

Substituting the given values into the ratio and solving for x:

[tex]\implies \sf \sin(x)=\dfrac{9.2}{10}[/tex]

[tex]\implies \sf x=\sin^{-1}\left(\dfrac{9.2}{10}\right)[/tex]

[tex]\implies \sf x=67^{\circ}\:(nearest\:degree)[/tex]

(see attachment 2)

Let y be the distance the foot of the ladder and the foot of the building

We can find y by using the cos trig ratio:

[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

Substituting the given values into the ratio and solving for x:

[tex]\implies \sf \cos(75^{\circ})=\dfrac{y}{10}[/tex]

[tex]\implies \sf y=10\cos(75^{\circ})[/tex]

[tex]\implies \sf y=2.6\:ft\:(nearest\:tenth)[/tex]

Answer:

593190 cubic inches

Step-by-step explanation:

to solve this equation you must first find out the volume of one cube

that can be modeled by 13*13*13 or more simply 13^3

13^3 = 2197

then you multiply that to 270

2197 * 270 = 593190

that is your answer

Answer:

  160

Step-by-step explanation:

Each cube is 1/2 inch, so there will be 2 cubes in each 1 inch of length. The dimensions of the prism in terms of the number of cubes are ...

  length: 4 in ⇒ 4×2 = 8 cubes

  width: 2 in ⇒ 2×2 = 4 cubes

  height: 2 1/2 in ⇒ (2 1/2)×2 = 5 cubes

Then the number of cubes required to fill the prism is ...

  8 × 4 × 5 = 160 . . . . cubes

The volume of the prism is equivalent to that of 160 1/2-inch cubes.

Step-by-step explanation:

here you go hopefully it helps

Answer:

32

Step-by-step explanation:

80/2 = 40

64/2 =  32

so she can make about 32

Answer: 270

Step-by-step explanation: 20 mins = 10 jumps now 20x3 is 60 which is an hour so in an hour he would have jumped 30 times and if you times 30 with 9 you would get 270 hence your answer

Using translation concepts, it is found that the variable h shifts the function horizontally while the variable k shifts the function vertically.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The cube root function is given by:

[tex]y = \sqrt[3]{x}[/tex]

The translated function is given by:

[tex]y = \sqrt[3]{x - h} + k[/tex].

The variables work as follows:

More can be learned about translation concepts at https://brainly.com/question/4521517

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[tex]\huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Answer}}}}[/tex]

To find :-

The value of x

Given :-

Here 2 angles are given

142°, and (3x + 22)°

Solution :-

We can see here the 2 lines intersect each other.

And the angle is formed

Since the angles are just opposite to each other so they are equal.

142° = (3x + 22)° {vertically opposite angles}

[tex]142 - 22 = 3x \\ 120 = 3x \\ \frac{120}{3} = x \\ 40 = x[/tex]

Result :-

The value of x is 40°.

Answer:

Rotate the second triangle, so the 30° angles line up with each other (C and D). Then you should be able to fill in the corresponding sides.

AB ≅ FG

AC ≅ FD

∠B ≅ ∠G

∠A ≅ ∠F

AC = 60

m∠F = 60°

Hope this helps.

Answer:

7/5

Step-by-step explanation:

3x + 5 + 2x - 12 = 0

5x - 7 = 0

5x = 7

x = 7/5

Answer:

200

Step-by-step explanate

100+100 = 200

used a calculator

Answer:

$5.72

Step-by-step explanation:

Answer:

Center: (2, -13)

Radius: 5√6

Explanation:

Equation: (x - 2)² + (y +13)² = 150

Circle Formula:

(x - h)² + (y - k)² = r²

where (h, k) is the center points, r is radius

Rewrite the equation:

(x - (2) )² + (y - (-13))² = (√150)²

Identify following's:

h = 2, k = -13, radius = √150 = 5√6

Hi Brielle the correct answer to your question is 3.12 x 4.0 = 12.48

12.48

Your answer should be 12.48 I hope that helps you

Answer:

L'M'N' is scaled by 2.5

Step-by-step explanation:

10 / 4 = 2.5

20 / 8 = 2.5

Answer:

116.32100

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

To find the area of a parallelogram, we can split this shape up into a rectangle and two right triangles.

The rectangle:

The rectangle has dimensions of 4 by 3 centimeters therefore the area would be 4*3=12 cm squared

two right triangles:

The area of a triangle is 1/2 base * height, but since there are two triangles it would just be the base times the height. The base is 3 cm and the height is 3 so 3*3=9

Next, we add the two areas together: 12+9 = 21

Answer:

  D 1/4

Step-by-step explanation:

Your question is a problem in reading comprehension. It tells you its own answer.

  x is always 1/4

Answer:

it's 13x+30

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

m< b = 180 - 36  

= 144 degrees  (adjacent angles.)

m < c = 144 degrees (opposite angles)

Answer:

1.1

Step-by-step explanation:

Write out a long division problem! Since you can't have a decimal in the divisor, multiply both numbers by 10. This will leave you with 39.6÷36. Now all you have to do is follow the steps and end up with an answer of 1.1

Answer:

53000

Step-by-step explanation:

Answer:

90 red pens

Step-by-step explanation:

we need to find the least common multiple of the numbers 3 , 5 , 6 , 9

6 = 2 × 3

9 = 3²

then

LCM(3,5,6,9) = 2×5×3² = 2×5×9 = 90

The number 90 can be divided into 3 ,5 ,6 ,9 with no remainder

Therefore the pack must have 90 pens or a multiple of 90

For example 180 , 270 ...

Answer:

Question 7:

Answer: f(2) = 4

Question 8: 3 + x

Answer:

x = 11

Step-by-step explanation:

All the sides of a rhombus are equal, so you can set the equations equal to one another.

2x + 46 = 7x - 9

Subtract 2x from both sides

46 = 5x - 9

Add 9 to both sides

55 = 5x

Divide both sides by 5

x = 11

Mark my answer as the brainliest if it helped you out!